Need Help on What to Do

So the major that I want to pursue is Mechanical Engineering but the problem that comes up is which college to choose.

The two colleges that I am considering are Cal Poly Pomona and UCSD but for UCSD I got in for my alternative major and not Mechanical Engineering. Also, from what I heard Pomona is not bad but doesn’t really get the name recognition. So what should I do? Go to Pomona or change majors in UCSD or try for a transfer to a better college like UCLA or Berkley.